Shortest representation in generalised Roman numerals [FINALIZED]
Posted
Given an integer, find its shortest representation in generalised Roman numerals. Since there is more than one way to generalise, only the definition shown below applies to this challenge.
Definition
The digits used are the same as for standard Roman numerals, with the same values:
Digit  Value 

I  1 
V  5 
X  10 
L  50 
C  100 
D  500 
M  1000 
A number is represented as a string of digits. To determine the value of the number:
 Find the first occurrence of the largest digit present. Call this the pivotal digit.
 This pivotal digit will be preceded by a prefix of zero or more digits, and will be followed by a suffix of zero or more digits.
 The value of the number is the value of the pivotal digit, minus the value of the prefix, plus the value of the suffix.
The value of the prefix and the suffix are calculated using these same steps, with the special case of a zero length prefix or suffix having value zero.
Note that unlike standard Roman numerals, this particular generalisation can represent negative integers and zero.
Input
 An integer from 62 to 62, inclusive.
 To emphasise: the input will not always be positive. It will sometimes be negative or zero.
Output
 A string of Roman numeral digits (letters from
IVXLCDM
).  This must be the shortest string that represents the input.
 If there is more than one shortest representation, you may output any of them, but you must output only one of them.
 Note that

is not a valid character for the output. A negative input must result in output composed only of digits fromIVXLCDM
.  Your output is only required to be correct for the specified input range. For this specific challenge, you are free to sacrifice correctness outside the specified input range in order to reduce the size of your code. If all of the test cases pass, your code is valid.
Examples
These examples show Roman numeral digits in fixed width
and decimal digits in bold.
Evaluating a string
The representation VIXIX
is evaluated as follows:

X
is the largest digit, so the pivotal digit is the firstX
.  The prefix is
VI
and the suffix isIX
.  The value is
pivot  prefix + suffix
, orX  VI + IX
.  Applying the same approach to
VI
givesV + I
, or 6.  Applying the same approach to
IX
givesX  I
, or 9.  So the value is
X  VI + IX
, or 10  6 + 9, or 13.
Processing an input integer
For input 4, there are a variety of ways of representing this number:

VIIXI
(five digits) isX  (V + I + I) + I
or 10  (5 + 1 + 1) + 1. 
IIII
(four digits) isI + I + I + I
or 1 + 1 + 1 + 1. 
VIX
(three digits) isX  (V + I)
or 10  (5 + 1). 
IV
(two digits) isV  I
or 5  1.
The shortest representation is IV
, so this is the valid output.
Multiple valid outputs
For input 3, both of the following are the shortest possible representation, so both are valid outputs:

III
isI + I + I
or 1 + 1 + 1. 
IIV
isV  (I + I)
or 5  (1 + 1).
Zero input
For input 0, any of the following are the shortest possible representation, so all are valid outputs:

VVX
isX  (V + V)
or 10  (5 + 5). 
LLC
isC  (L + L)
or 100  (50 + 50). 
DDM
isM  (D + D)
or 1000  (500 + 500).
Negative input
For input 5, any of the following are the shortest possible representation, so all are valid outputs:

VVVX
isX  (V + V + V)
or 10  (5 + 5 + 5). 
LLVC
isC  (L + L + V)
or 100  (50 + 50 + 5). 
DDVM
isM  (D + D + V)
or 1000  (500 + 500 + 5).
Test cases
Test cases are in the format integer:["valid","output","strings"]
.
Note that you must only output one valid string, not all of them.
1:["I"]
2:["II"]
3:["III","IIV"]
4:["IV"]
5:["V"]
6:["VI"]
7:["VII"]
8:["IIX"]
9:["IX"]
10:["X"]
11:["XI"]
12:["XII"]
13:["IIXV","IXIV","XIII","XIIV"]
14:["IXV","XIV"]
15:["XV"]
16:["XVI"]
17:["XVII"]
18:["IIXX","IXIX","XIIX"]
19:["IXX","XIX"]
20:["XX"]
21:["XXI"]
22:["XXII"]
23:["IIXXV","IXIXV","IXXIV","XIIXV","XIXIV","XXIII","XXIIV"]
24:["IXXV","XIXV","XXIV"]
25:["XXV"]
26:["XXVI"]
27:["XXVII"]
28:["IIXXX","IXIXX","IXXIX","XIIXX","XIXIX","XXIIX","XXIIL"]
29:["IXXX","XIXX","XXIX","XXIL"]
30:["XXX","XXL"]
31:["IXXL","XIXL","XXXI","XXLI"]
32:["IIXXL","IXIXL","IXXLI","XIIXL","XIXLI","XXXII","XXLII"]
33:["XVIIL"]
34:["XVIL"]
35:["XVL"]
36:["IXVL","XIVL","XVLI"]
37:["IIXVL","IXIVL","IXVLI","XIIIL","XIIVL","XIVLI","XVLII"]
38:["XIIL"]
39:["XIL"]
40:["XL"]
41:["IXL","XLI"]
42:["IIXL","IXLI","XLII"]
43:["VIIL"]
44:["VIL"]
45:["VL"]
46:["IVL","VLI"]
47:["IIIL","IIVL","IVLI","VLII"]
48:["IIL"]
49:["IL"]
50:["L"]
51:["LI"]
52:["LII"]
53:["IILV","ILIV","LIII","LIIV"]
54:["ILV","LIV"]
55:["LV"]
56:["LVI"]
57:["LVII"]
58:["IILX","ILIX","LIIX"]
59:["ILX","LIX"]
60:["LX"]
61:["LXI"]
62:["LXII"]
0:["VVX","LLC","DDM"]
1:["VVIX","LLIC","DDIM"]
2:["VVIIX","LLIIC","DDIIM"]
3:["IIVVVX","IILLVC","IIDDVM","IVIVVX","IVVIVX","IVVVXI","ILILVC","ILLIVC","ILLVCI","IDIDVM","IDDIVM","IDDVMI","VIIVVX","VIVIVX","VIVVXI","VVIIIX","VVIIVX","VVIVXI","VVVXII","LIILVC","LILIVC","LILVCI","LLIIIC","LLIIVC","LLIVCI","LLVCII","DIIDVM","DIDIVM","DIDVMI","DDIIIM","DDIIVM","DDIVMI","DDVMII"]
4:["IVVVX","ILLVC","IDDVM","VIVVX","VVIVX","VVVXI","LILVC","LLIVC","LLVCI","DIDVM","DDIVM","DDVMI"]
5:["VVVX","LLVC","DDVM"]
6:["VVVIX","LLVIC","DDVIM"]
7:["VVVIIX","LLVIIC","DDVIIM"]
8:["IILLXC","IIDDXM","ILILXC","ILLIXC","ILLXCI","IDIDXM","IDDIXM","IDDXMI","LIILXC","LILIXC","LILXCI","LLIIXC","LLIXCI","LLXCII","DIIDXM","DIDIXM","DIDXMI","DDIIXM","DDIXMI","DDXMII"]
9:["ILLXC","IDDXM","LILXC","LLIXC","LLXCI","DIDXM","DDIXM","DDXMI"]
10:["LLXC","DDXM"]
11:["LLXIC","DDXIM"]
12:["LLXIIC","DDXIIM"]
13:["IILLXVC","IIDDXVM","ILILXVC","ILLIXVC","ILLXIVC","ILLXVCI","IDIDXVM","IDDIXVM","IDDXIVM","IDDXVMI","LIILXVC","LILIXVC","LILXIVC","LILXVCI","LLIIXVC","LLIXIVC","LLIXVCI","LLXIIIC","LLXIIVC","LLXIVCI","LLXVCII","DIIDXVM","DIDIXVM","DIDXIVM","DIDXVMI","DDIIXVM","DDIXIVM","DDIXVMI","DDXIIIM","DDXIIVM","DDXIVMI","DDXVMII"]
14:["ILLXVC","IDDXVM","LILXVC","LLIXVC","LLXIVC","LLXVCI","DIDXVM","DDIXVM","DDXIVM","DDXVMI"]
15:["LLXVC","DDXVM"]
16:["LLXVIC","DDXVIM"]
17:["LLXVIIC","DDXVIIM"]
18:["IILLXXC","IIDDXXM","ILILXXC","ILLIXXC","ILLXIXC","ILLXXCI","IDIDXXM","IDDIXXM","IDDXIXM","IDDXXMI","LIILXXC","LILIXXC","LILXIXC","LILXXCI","LLIIXXC","LLIXIXC","LLIXXCI","LLXIIXC","LLXIXCI","LLXXCII","DIIDXXM","DIDIXXM","DIDXIXM","DIDXXMI","DDIIXXM","DDIXIXM","DDIXXMI","DDXIIXM","DDXIXMI","DDXXMII"]
19:["ILLXXC","IDDXXM","LILXXC","LLIXXC","LLXIXC","LLXXCI","DIDXXM","DDIXXM","DDXIXM","DDXXMI"]
20:["LLXXC","DDXXM"]
21:["LLXXIC","DDXXIM"]
22:["LLXXIIC","DDXXIIM"]
23:["IILLXXVC","IIDDXXVM","ILILXXVC","ILLIXXVC","ILLXIXVC","ILLXXIVC","ILLXXVCI","IDIDXXVM","IDDIXXVM","IDDXIXVM","IDDXXIVM","IDDXXVMI","LIILXXVC","LILIXXVC","LILXIXVC","LILXXIVC","LILXXVCI","LLIIXXVC","LLIXIXVC","LLIXXIVC","LLIXXVCI","LLXIIXVC","LLXIXIVC","LLXIXVCI","LLXXIIIC","LLXXIIVC","LLXXIVCI","LLXXVCII","DIIDXXVM","DIDIXXVM","DIDXIXVM","DIDXXIVM","DIDXXVMI","DDIIXXVM","DDIXIXVM","DDIXXIVM","DDIXXVMI","DDXIIXVM","DDXIXIVM","DDXIXVMI","DDXXIIIM","DDXXIIVM","DDXXIVMI","DDXXVMII"]
24:["ILLXXVC","IDDXXVM","LILXXVC","LLIXXVC","LLXIXVC","LLXXIVC","LLXXVCI","DIDXXVM","DDIXXVM","DDXIXVM","DDXXIVM","DDXXVMI"]
25:["LLXXVC","DDXXVM"]
26:["LLXXVIC","DDXXVIM"]
27:["LLXXVIIC","DDXXVIIM"]
28:["IILXXLLC","IILXLXLC","IILXLLCX","IILLXXXC","IILLXXLC","IILLXLCX","IILLLCXX","IIDXXDLM","IIDXDXLM","IIDXDLMX","IIDDXXXM","IIDDXXLM","IIDDXLMX","IIDDLMXX","ILILXXXC","ILILXXLC","ILILXLCX","ILILLCXX","ILXILXLC","ILXILLCX","ILXXILLC","ILXXLILC","ILXXLLCI","ILXLILCX","ILXLXILC","ILXLXLCI","ILXLLCXI","ILLIXXXC","ILLILCXX","ILLXIXXC","ILLXILCX","ILLXXIXC","ILLXXILC","ILLXXXCI","ILLXXLCI","ILLXLCXI","ILLLCXXI","IDIDXXXM","IDIDXXLM","IDIDXLMX","IDIDLMXX","IDXIDXLM","IDXIDLMX","IDXXIDLM","IDXXDILM","IDXXDLMI","IDXDILMX","IDXDXILM","IDXDXLMI","IDXDLMXI","IDDIXXXM","IDDILMXX","IDDXIXXM","IDDXILMX","IDDXXIXM","IDDXXILM","IDDXXXMI","IDDXXLMI","IDDXLMXI","IDDLMXXI","XIILXLLC","XIILLXLC","XIILLLCX","XIIDXDLM","XIIDDXLM","XIIDDLMX","XILILXLC","XILILLCX","XILXILLC","XILXLILC","XILXLLCI","XILLILCX","XILLXILC","XILLXLCI","XILLLCXI","XIDIDXLM","XIDIDLMX","XIDXIDLM","XIDXDILM","XIDXDLMI","XIDDILMX","XIDDXILM","XIDDXLMI","XIDDLMXI","XXIILLLC","XXIIDDLM","XXILILLC","XXILLILC","XXILLLCI","XXIDIDLM","XXIDDILM","XXIDDLMI","XXLIILLC","XXLILILC","XXLILLCI","XXLLIILC","XXLLILCI","XXLLLCII","XXDIIDLM","XXDIDILM","XXDIDLMI","XXDDIILM","XXDDILMI","XXDDLMII","XLIILXLC","XLIILLCX","XLILILCX","XLILXILC","XLILXLCI","XLILLCXI","XLXIILLC","XLXILILC","XLXILLCI","XLXLIILC","XLXLILCI","XLXLLCII","XLLIILCX","XLLILCXI","XLLXIILC","XLLXILCI","XLLXLCII","XLLLCXII","XDIIDXLM","XDIIDLMX","XDIDILMX","XDIDXILM","XDIDXLMI","XDIDLMXI","XDXIIDLM","XDXIDILM","XDXIDLMI","XDXDIILM","XDXDILMI","XDXDLMII","XDDIILMX","XDDILMXI","XDDXIILM","XDDXILMI","XDDXLMII","XDDLMXII","LIILXXXC","LIILXXLC","LIILXLCX","LIILLCXX","LILIXXXC","LILILCXX","LILXIXXC","LILXILCX","LILXXIXC","LILXXILC","LILXXXCI","LILXXLCI","LILXLCXI","LILLCXXI","LXIILXLC","LXIILLCX","LXILILCX","LXILXILC","LXILXLCI","LXILLCXI","LXXIILLC","LXXILILC","LXXILLCI","LXXLIILC","LXXLILCI","LXXLLCII","LXLIILCX","LXLILCXI","LXLXIILC","LXLXILCI","LXLXLCII","LXLLCXII","LLIIXXXC","LLIILCXX","LLIXIXXC","LLIXXIXC","LLIXXXCI","LLILCXXI","LLXIIXXC","LLXIILCX","LLXIXIXC","LLXIXXCI","LLXILCXI","LLXXIIXC","LLXXIILC","LLXXIXCI","LLXXILCI","LLXXXCII","LLXXLCII","LLXLCXII","LLLCXXII","DIIDXXXM","DIIDXXLM","DIIDXLMX","DIIDLMXX","DIDIXXXM","DIDILMXX","DIDXIXXM","DIDXILMX","DIDXXIXM","DIDXXILM","DIDXXXMI","DIDXXLMI","DIDXLMXI","DIDLMXXI","DXIIDXLM","DXIIDLMX","DXIDILMX","DXIDXILM","DXIDXLMI","DXIDLMXI","DXXIIDLM","DXXIDILM","DXXIDLMI","DXXDIILM","DXXDILMI","DXXDLMII","DXDIILMX","DXDILMXI","DXDXIILM","DXDXILMI","DXDXLMII","DXDLMXII","DDIIXXXM","DDIILMXX","DDIXIXXM","DDIXXIXM","DDIXXXMI","DDILMXXI","DDXIIXXM","DDXIILMX","DDXIXIXM","DDXIXXMI","DDXILMXI","DDXXIIXM","DDXXIILM","DDXXIXMI","DDXXILMI","DDXXXMII","DDXXLMII","DDXLMXII","DDLMXXII"]
29:["ILXXLLC","ILXLXLC","ILXLLCX","ILLXXXC","ILLXXLC","ILLXLCX","ILLLCXX","IDXXDLM","IDXDXLM","IDXDLMX","IDDXXXM","IDDXXLM","IDDXLMX","IDDLMXX","XILXLLC","XILLXLC","XILLLCX","XIDXDLM","XIDDXLM","XIDDLMX","XXILLLC","XXIDDLM","XXLILLC","XXLLILC","XXLLLCI","XXDIDLM","XXDDILM","XXDDLMI","XLILXLC","XLILLCX","XLXILLC","XLXLILC","XLXLLCI","XLLILCX","XLLXILC","XLLXLCI","XLLLCXI","XDIDXLM","XDIDLMX","XDXIDLM","XDXDILM","XDXDLMI","XDDILMX","XDDXILM","XDDXLMI","XDDLMXI","LILXXXC","LILXXLC","LILXLCX","LILLCXX","LXILXLC","LXILLCX","LXXILLC","LXXLILC","LXXLLCI","LXLILCX","LXLXILC","LXLXLCI","LXLLCXI","LLIXXXC","LLILCXX","LLXIXXC","LLXILCX","LLXXIXC","LLXXILC","LLXXXCI","LLXXLCI","LLXLCXI","LLLCXXI","DIDXXXM","DIDXXLM","DIDXLMX","DIDLMXX","DXIDXLM","DXIDLMX","DXXIDLM","DXXDILM","DXXDLMI","DXDILMX","DXDXILM","DXDXLMI","DXDLMXI","DDIXXXM","DDILMXX","DDXIXXM","DDXILMX","DDXXIXM","DDXXILM","DDXXXMI","DDXXLMI","DDXLMXI","DDLMXXI"]
30:["XXLLLC","XXDDLM","XLXLLC","XLLXLC","XLLLCX","XDXDLM","XDDXLM","XDDLMX","LXXLLC","LXLXLC","LXLLCX","LLXXXC","LLXXLC","LLXLCX","LLLCXX","DXXDLM","DXDXLM","DXDLMX","DDXXXM","DDXXLM","DDXLMX","DDLMXX"]
31:["IXXLLLC","IXXDDLM","IXLXLLC","IXLLXLC","IXLLLCX","IXDXDLM","IXDDXLM","IXDDLMX","XIXLLLC","XIXDDLM","XXLLLIC","XXDDLIM","XLIXLLC","XLXLLIC","XLLIXLC","XLLXLIC","XLLLICX","XLLLCIX","XDIXDLM","XDXDLIM","XDDIXLM","XDDXLIM","XDDLIMX","XDDLMIX","LIXXLLC","LIXLXLC","LIXLLCX","LXIXLLC","LXXLLIC","LXLIXLC","LXLXLIC","LXLLICX","LXLLCIX","LLIXXLC","LLIXLCX","LLXIXLC","LLXXXIC","LLXXLIC","LLXLICX","LLXLCIX","LLLICXX","LLLCIXX","LLLCXIX","DIXXDLM","DIXDXLM","DIXDLMX","DXIXDLM","DXXDLIM","DXDIXLM","DXDXLIM","DXDLIMX","DXDLMIX","DDIXXLM","DDIXLMX","DDXIXLM","DDXXXIM","DDXXLIM","DDXLIMX","DDXLMIX","DDLIMXX","DDLMIXX","DDLMXIX"]
32:["IIXXLLLC","IIXXDDLM","IIXLXLLC","IIXLLXLC","IIXLLLCX","IIXDXDLM","IIXDDXLM","IIXDDLMX","IXIXLLLC","IXIXDDLM","IXXLLLIC","IXXDDLIM","IXLIXLLC","IXLXLLIC","IXLLIXLC","IXLLXLIC","IXLLLICX","IXLLLCIX","IXDIXDLM","IXDXDLIM","IXDDIXLM","IXDDXLIM","IXDDLIMX","IXDDLMIX","XIIXLLLC","XIIXDDLM","XIXLLLIC","XIXDDLIM","XXLLLIIC","XXDDLIIM","XLIIXLLC","XLIXLLIC","XLXLLIIC","XLLIIXLC","XLLIXLIC","XLLXLIIC","XLLLIICX","XLLLICIX","XLLLCIIX","XDIIXDLM","XDIXDLIM","XDXDLIIM","XDDIIXLM","XDDIXLIM","XDDXLIIM","XDDLIIMX","XDDLIMIX","XDDLMIIX","LIIXXLLC","LIIXLXLC","LIIXLLCX","LIXIXLLC","LIXXLLIC","LIXLIXLC","LIXLXLIC","LIXLLICX","LIXLLCIX","LXIIXLLC","LXIXLLIC","LXXLLIIC","LXLIIXLC","LXLIXLIC","LXLXLIIC","LXLLIICX","LXLLICIX","LXLLCIIX","LLIIXXLC","LLIIXLCX","LLIXIXLC","LLIXXLIC","LLIXLICX","LLIXLCIX","LLXIIXLC","LLXIXLIC","LLXXXIIC","LLXXLIIC","LLXLIICX","LLXLICIX","LLXLCIIX","LLLIICXX","LLLICIXX","LLLICXIX","LLLCIIXX","LLLCIXIX","LLLCXIIX","DIIXXDLM","DIIXDXLM","DIIXDLMX","DIXIXDLM","DIXXDLIM","DIXDIXLM","DIXDXLIM","DIXDLIMX","DIXDLMIX","DXIIXDLM","DXIXDLIM","DXXDLIIM","DXDIIXLM","DXDIXLIM","DXDXLIIM","DXDLIIMX","DXDLIMIX","DXDLMIIX","DDIIXXLM","DDIIXLMX","DDIXIXLM","DDIXXLIM","DDIXLIMX","DDIXLMIX","DDXIIXLM","DDXIXLIM","DDXXXIIM","DDXXLIIM","DDXLIIMX","DDXLIMIX","DDXLMIIX","DDLIIMXX","DDLIMIXX","DDLIMXIX","DDLMIIXX","DDLMIXIX","DDLMXIIX"]
33:["IILVLXLC","IILVLLCX","IILXVLLC","IILXLVLC","IILXLLCV","IILLVLCX","IILLXVLC","IILLXLCV","IILLLCXV","IIDVDXLM","IIDVDLMX","IIDXVDLM","IIDXDVLM","IIDXDLMV","IIDDVLMX","IIDDXVLM","IIDDXLMV","IIDDLMXV","ILILVLCX","ILILXVLC","ILILXLCV","ILILLCXV","ILVILXLC","ILVILLCX","ILVLILCX","ILVLXILC","ILVLXLCI","ILVLLCXI","ILXILVLC","ILXILLCV","ILXVILLC","ILXVLILC","ILXVLLCI","ILXLILCV","ILXLVILC","ILXLVLCI","ILXLLCVI","ILLILCXV","ILLVILCX","ILLVLCXI","ILLXILCV","ILLXVILC","ILLXVLCI","ILLXLCVI","ILLLCXVI","IDIDVLMX","IDIDXVLM","IDIDXLMV","IDIDLMXV","IDVIDXLM","IDVIDLMX","IDVDILMX","IDVDXILM","IDVDXLMI","IDVDLMXI","IDXIDVLM","IDXIDLMV","IDXVIDLM","IDXVDILM","IDXVDLMI","IDXDILMV","IDXDVILM","IDXDVLMI","IDXDLMVI","IDDILMXV","IDDVILMX","IDDVLMXI","IDDXILMV","IDDXVILM","IDDXVLMI","IDDXLMVI","IDDLMXVI","VIILXLLC","VIILLXLC","VIILLLCX","VIIDXDLM","VIIDDXLM","VIIDDLMX","VILILXLC","VILILLCX","VILXILLC","VILXLILC","VILXLLCI","VILLILCX","VILLXILC","VILLXLCI","VILLLCXI","VIDIDXLM","VIDIDLMX","VIDXIDLM","VIDXDILM","VIDXDLMI","VIDDILMX","VIDDXILM","VIDDXLMI","VIDDLMXI","VLIILXLC","VLIILLCX","VLILILCX","VLILXILC","VLILXLCI","VLILLCXI","VLXIILLC","VLXILILC","VLXILLCI","VLXLIILC","VLXLILCI","VLXLLCII","VLLIILCX","VLLILCXI","VLLXIILC","VLLXILCI","VLLXLCII","VLLLCXII","VDIIDXLM","VDIIDLMX","VDIDILMX","VDIDXILM","VDIDXLMI","VDIDLMXI","VDXIIDLM","VDXIDILM","VDXIDLMI","VDXDIILM","VDXDILMI","VDXDLMII","VDDIILMX","VDDILMXI","VDDXIILM","VDDXILMI","VDDXLMII","VDDLMXII","XIILVLLC","XIILLVLC","XIILLLCV","XIIDVDLM","XIIDDVLM","XIIDDLMV","XILILVLC","XILILLCV","XILVILLC","XILVLILC","XILVLLCI","XILLILCV","XILLVILC","XILLVLCI","XILLLCVI","XIDIDVLM","XIDIDLMV","XIDVIDLM","XIDVDILM","XIDVDLMI","XIDDILMV","XIDDVILM","XIDDVLMI","XIDDLMVI","XVIILLLC","XVIIDDLM","XVILILLC","XVILLILC","XVILLLCI","XVIDIDLM","XVIDDILM","XVIDDLMI","XVLIILLC","XVLILILC","XVLILLCI","XVLLIILC","XVLLILCI","XVLLLCII","XVDIIDLM","XVDIDILM","XVDIDLMI","XVDDIILM","XVDDILMI","XVDDLMII","XLIILVLC","XLIILLCV","XLILILCV","XLILVILC","XLILVLCI","XLILLCVI","XLVIILLC","XLVILILC","XLVILLCI","XLVLIILC","XLVLILCI","XLVLLCII","XLLIILCV","XLLILCVI","XLLVIILC","XLLVILCI","XLLVLCII","XLLLCVII","XDIIDVLM","XDIIDLMV","XDIDILMV","XDIDVILM","XDIDVLMI","XDIDLMVI","XDVIIDLM","XDVIDILM","XDVIDLMI","XDVDIILM","XDVDILMI","XDVDLMII","XDDIILMV","XDDILMVI","XDDVIILM","XDDVILMI","XDDVLMII","XDDLMVII","LIILVLCX","LIILXVLC","LIILXLCV","LIILLCXV","LILILCXV","LILVILCX","LILVLCXI","LILXILCV","LILXVILC","LILXVLCI","LILXLCVI","LILLCXVI","LVIILXLC","LVIILLCX","LVILILCX","LVILXILC","LVILXLCI","LVILLCXI","LVLIILCX","LVLILCXI","LVLXIILC","LVLXILCI","LVLXLCII","LVLLCXII","LXIILVLC","LXIILLCV","LXILILCV","LXILVILC","LXILVLCI","LXILLCVI","LXVIILLC","LXVILILC","LXVILLCI","LXVLIILC","LXVLILCI","LXVLLCII","LXLIILCV","LXLILCVI","LXLVIILC","LXLVILCI","LXLVLCII","LXLLCVII","LLIILCXV","LLILCXVI","LLVIILCX","LLVILCXI","LLVLCXII","LLXIILCV","LLXILCVI","LLXVIILC","LLXVILCI","LLXVLCII","LLXLCVII","LLLCXVII","DIIDVLMX","DIIDXVLM","DIIDXLMV","DIIDLMXV","DIDILMXV","DIDVILMX","DIDVLMXI","DIDXILMV","DIDXVILM","DIDXVLMI","DIDXLMVI","DIDLMXVI","DVIIDXLM","DVIIDLMX","DVIDILMX","DVIDXILM","DVIDXLMI","DVIDLMXI","DVDIILMX","DVDILMXI","DVDXIILM","DVDXILMI","DVDXLMII","DVDLMXII","DXIIDVLM","DXIIDLMV","DXIDILMV","DXIDVILM","DXIDVLMI","DXIDLMVI","DXVIIDLM","DXVIDILM","DXVIDLMI","DXVDIILM","DXVDILMI","DXVDLMII","DXDIILMV","DXDILMVI","DXDVIILM","DXDVILMI","DXDVLMII","DXDLMVII","DDIILMXV","DDILMXVI","DDVIILMX","DDVILMXI","DDVLMXII","DDXIILMV","DDXILMVI","DDXVIILM","DDXVILMI","DDXVLMII","DDXLMVII","DDLMXVII"]
34:["ILVLXLC","ILVLLCX","ILXVLLC","ILXLVLC","ILXLLCV","ILLVLCX","ILLXVLC","ILLXLCV","ILLLCXV","IDVDXLM","IDVDLMX","IDXVDLM","IDXDVLM","IDXDLMV","IDDVLMX","IDDXVLM","IDDXLMV","IDDLMXV","VILXLLC","VILLXLC","VILLLCX","VIDXDLM","VIDDXLM","VIDDLMX","VLILXLC","VLILLCX","VLXILLC","VLXLILC","VLXLLCI","VLLILCX","VLLXILC","VLLXLCI","VLLLCXI","VDIDXLM","VDIDLMX","VDXIDLM","VDXDILM","VDXDLMI","VDDILMX","VDDXILM","VDDXLMI","VDDLMXI","XILVLLC","XILLVLC","XILLLCV","XIDVDLM","XIDDVLM","XIDDLMV","XVILLLC","XVIDDLM","XVLILLC","XVLLILC","XVLLLCI","XVDIDLM","XVDDILM","XVDDLMI","XLILVLC","XLILLCV","XLVILLC","XLVLILC","XLVLLCI","XLLILCV","XLLVILC","XLLVLCI","XLLLCVI","XDIDVLM","XDIDLMV","XDVIDLM","XDVDILM","XDVDLMI","XDDILMV","XDDVILM","XDDVLMI","XDDLMVI","LILVLCX","LILXVLC","LILXLCV","LILLCXV","LVILXLC","LVILLCX","LVLILCX","LVLXILC","LVLXLCI","LVLLCXI","LXILVLC","LXILLCV","LXVILLC","LXVLILC","LXVLLCI","LXLILCV","LXLVILC","LXLVLCI","LXLLCVI","LLILCXV","LLVILCX","LLVLCXI","LLXILCV","LLXVILC","LLXVLCI","LLXLCVI","LLLCXVI","DIDVLMX","DIDXVLM","DIDXLMV","DIDLMXV","DVIDXLM","DVIDLMX","DVDILMX","DVDXILM","DVDXLMI","DVDLMXI","DXIDVLM","DXIDLMV","DXVIDLM","DXVDILM","DXVDLMI","DXDILMV","DXDVILM","DXDVLMI","DXDLMVI","DDILMXV","DDVILMX","DDVLMXI","DDXILMV","DDXVILM","DDXVLMI","DDXLMVI","DDLMXVI"]
35:["VLXLLC","VLLXLC","VLLLCX","VDXDLM","VDDXLM","VDDLMX","XVLLLC","XVDDLM","XLVLLC","XLLVLC","XLLLCV","XDVDLM","XDDVLM","XDDLMV","LVLXLC","LVLLCX","LXVLLC","LXLVLC","LXLLCV","LLVLCX","LLXVLC","LLXLCV","LLLCXV","DVDXLM","DVDLMX","DXVDLM","DXDVLM","DXDLMV","DDVLMX","DDXVLM","DDXLMV","DDLMXV"]
36:["IVLXLLC","IVLLXLC","IVLLLCX","IVDXDLM","IVDDXLM","IVDDLMX","IXVLLLC","IXVDDLM","IXLVLLC","IXLLVLC","IXLLLCV","IXDVDLM","IXDDVLM","IXDDLMV","VLIXLLC","VLXLLIC","VLLIXLC","VLLXLIC","VLLLICX","VLLLCIX","VDIXDLM","VDXDLIM","VDDIXLM","VDDXLIM","VDDLIMX","VDDLMIX","XIVLLLC","XIVDDLM","XVLLLIC","XVDDLIM","XLIVLLC","XLVLLIC","XLLIVLC","XLLVLIC","XLLLICV","XLLLCIV","XDIVDLM","XDVDLIM","XDDIVLM","XDDVLIM","XDDLIMV","XDDLMIV","LIVLXLC","LIVLLCX","LIXVLLC","LIXLVLC","LIXLLCV","LVLIXLC","LVLXLIC","LVLLICX","LVLLCIX","LXIVLLC","LXVLLIC","LXLIVLC","LXLVLIC","LXLLICV","LXLLCIV","LLIVLCX","LLIXVLC","LLIXLCV","LLVLICX","LLVLCIX","LLXIVLC","LLXVLIC","LLXLICV","LLXLCIV","LLLICXV","LLLCIXV","LLLCXIV","DIVDXLM","DIVDLMX","DIXVDLM","DIXDVLM","DIXDLMV","DVDIXLM","DVDXLIM","DVDLIMX","DVDLMIX","DXIVDLM","DXVDLIM","DXDIVLM","DXDVLIM","DXDLIMV","DXDLMIV","DDIVLMX","DDIXVLM","DDIXLMV","DDVLIMX","DDVLMIX","DDXIVLM","DDXVLIM","DDXLIMV","DDXLMIV","DDLIMXV","DDLMIXV","DDLMXIV"]
37:["IIILXLLC","IIILLXLC","IIILLLCX","IIIDXDLM","IIIDDXLM","IIIDDLMX","IIVLXLLC","IIVLLXLC","IIVLLLCX","IIVDXDLM","IIVDDXLM","IIVDDLMX","IIXVLLLC","IIXVDDLM","IIXLVLLC","IIXLLVLC","IIXLLLCV","IIXDVDLM","IIXDDVLM","IIXDDLMV","IILILXLC","IILILLCX","IILXILLC","IILXLILC","IILXLLCI","IILLILCX","IILLXILC","IILLXLCI","IILLLCXI","IIDIDXLM","IIDIDLMX","IIDXIDLM","IIDXDILM","IIDXDLMI","IIDDILMX","IIDDXILM","IIDDXLMI","IIDDLMXI","IVLIXLLC","IVLXLLIC","IVLLIXLC","IVLLXLIC","IVLLLICX","IVLLLCIX","IVDIXDLM","IVDXDLIM","IVDDIXLM","IVDDXLIM","IVDDLIMX","IVDDLMIX","IXIVLLLC","IXIVDDLM","IXVLLLIC","IXVDDLIM","IXLIVLLC","IXLVLLIC","IXLLIVLC","IXLLVLIC","IXLLLICV","IXLLLCIV","IXDIVDLM","IXDVDLIM","IXDDIVLM","IXDDVLIM","IXDDLIMV","IXDDLMIV","ILIILXLC","ILIILLCX","ILILILCX","ILILXILC","ILILXLCI","ILILLCXI","ILXIILLC","ILXILILC","ILXILLCI","ILXLIILC","ILXLILCI","ILXLLCII","ILLIILCX","ILLILCXI","ILLXIILC","ILLXILCI","ILLXLCII","ILLLCXII","IDIIDXLM","IDIIDLMX","IDIDILMX","IDIDXILM","IDIDXLMI","IDIDLMXI","IDXIIDLM","IDXIDILM","IDXIDLMI","IDXDIILM","IDXDILMI","IDXDLMII","IDDIILMX","IDDILMXI","IDDXIILM","IDDXILMI","IDDXLMII","IDDLMXII","VLIIXLLC","VLIXLLIC","VLXLLIIC","VLLIIXLC","VLLIXLIC","VLLXLIIC","VLLLIICX","VLLLICIX","VLLLCIIX","VDIIXDLM","VDIXDLIM","VDXDLIIM","VDDIIXLM","VDDIXLIM","VDDXLIIM","VDDLIIMX","VDDLIMIX","VDDLMIIX","XIIILLLC","XIIIDDLM","XIIVLLLC","XIIVDDLM","XIILILLC","XIILLILC","XIILLLCI","XIIDIDLM","XIIDDILM","XIIDDLMI","XIVLLLIC","XIVDDLIM","XILIILLC","XILILILC","XILILLCI","XILLIILC","XILLILCI","XILLLCII","XIDIIDLM","XIDIDILM","XIDIDLMI","XIDDIILM","XIDDILMI","XIDDLMII","XVLLLIIC","XVDDLIIM","XLIIILLC","XLIIVLLC","XLIILILC","XLIILLCI","XLIVLLIC","XLILIILC","XLILILCI","XLILLCII","XLVLLIIC","XLLIIILC","XLLIIVLC","XLLIILCI","XLLIVLIC","XLLILCII","XLLVLIIC","XLLLIICV","XLLLICIV","XLLLCIII","XLLLCIIV","XDIIIDLM","XDIIVDLM","XDIIDILM","XDIIDLMI","XDIVDLIM","XDIDIILM","XDIDILMI","XDIDLMII","XDVDLIIM","XDDIIILM","XDDIIVLM","XDDIILMI","XDDIVLIM","XDDILMII","XDDVLIIM","XDDLIIMV","XDDLIMIV","XDDLMIII","XDDLMIIV","LIIILXLC","LIIILLCX","LIIVLXLC","LIIVLLCX","LIIXVLLC","LIIXLVLC","LIIXLLCV","LIILILCX","LIILXILC","LIILXLCI","LIILLCXI","LIVLIXLC","LIVLXLIC","LIVLLICX","LIVLLCIX","LIXIVLLC","LIXVLLIC","LIXLIVLC","LIXLVLIC","LIXLLICV","LIXLLCIV","LILIILCX","LILILCXI","LILXIILC","LILXILCI","LILXLCII","LILLCXII","LVLIIXLC","LVLIXLIC","LVLXLIIC","LVLLIICX","LVLLICIX","LVLLCIIX","LXIIILLC","LXIIVLLC","LXIILILC","LXIILLCI","LXIVLLIC","LXILIILC","LXILILCI","LXILLCII","LXVLLIIC","LXLIIILC","LXLIIVLC","LXLIILCI","LXLIVLIC","LXLILCII","LXLVLIIC","LXLLIICV","LXLLICIV","LXLLCIII","LXLLCIIV","LLIIILCX","LLIIVLCX","LLIIXVLC","LLIIXLCV","LLIILCXI","LLIVLICX","LLIVLCIX","LLIXIVLC","LLIXVLIC","LLIXLICV","LLIXLCIV","LLILCXII","LLVLIICX","LLVLICIX","LLVLCIIX","LLXIIILC","LLXIIVLC","LLXIILCI","LLXIVLIC","LLXILCII","LLXVLIIC","LLXLIICV","LLXLICIV","LLXLCIII","LLXLCIIV","LLLIICXV","LLLICIXV","LLLICXIV","LLLCIIXV","LLLCIXIV","LLLCXIII","LLLCXIIV","DIIIDXLM","DIIIDLMX","DIIVDXLM","DIIVDLMX","DIIXVDLM","DIIXDVLM","DIIXDLMV","DIIDILMX","DIIDXILM","DIIDXLMI","DIIDLMXI","DIVDIXLM","DIVDXLIM","DIVDLIMX","DIVDLMIX","DIXIVDLM","DIXVDLIM","DIXDIVLM","DIXDVLIM","DIXDLIMV","DIXDLMIV","DIDIILMX","DIDILMXI","DIDXIILM","DIDXILMI","DIDXLMII","DIDLMXII","DVDIIXLM","DVDIXLIM","DVDXLIIM","DVDLIIMX","DVDLIMIX","DVDLMIIX","DXIIIDLM","DXIIVDLM","DXIIDILM","DXIIDLMI","DXIVDLIM","DXIDIILM","DXIDILMI","DXIDLMII","DXVDLIIM","DXDIIILM","DXDIIVLM","DXDIILMI","DXDIVLIM","DXDILMII","DXDVLIIM","DXDLIIMV","DXDLIMIV","DXDLMIII","DXDLMIIV","DDIIILMX","DDIIVLMX","DDIIXVLM","DDIIXLMV","DDIILMXI","DDIVLIMX","DDIVLMIX","DDIXIVLM","DDIXVLIM","DDIXLIMV","DDIXLMIV","DDILMXII","DDVLIIMX","DDVLIMIX","DDVLMIIX","DDXIIILM","DDXIIVLM","DDXIILMI","DDXIVLIM","DDXILMII","DDXVLIIM","DDXLIIMV","DDXLIMIV","DDXLMIII","DDXLMIIV","DDLIIMXV","DDLIMIXV","DDLIMXIV","DDLMIIXV","DDLMIXIV","DDLMXIII","DDLMXIIV"]
38:["IILXLLC","IILLXLC","IILLLCX","IIDXDLM","IIDDXLM","IIDDLMX","ILILXLC","ILILLCX","ILXILLC","ILXLILC","ILXLLCI","ILLILCX","ILLXILC","ILLXLCI","ILLLCXI","IDIDXLM","IDIDLMX","IDXIDLM","IDXDILM","IDXDLMI","IDDILMX","IDDXILM","IDDXLMI","IDDLMXI","XIILLLC","XIIDDLM","XILILLC","XILLILC","XILLLCI","XIDIDLM","XIDDILM","XIDDLMI","XLIILLC","XLILILC","XLILLCI","XLLIILC","XLLILCI","XLLLCII","XDIIDLM","XDIDILM","XDIDLMI","XDDIILM","XDDILMI","XDDLMII","LIILXLC","LIILLCX","LILILCX","LILXILC","LILXLCI","LILLCXI","LXIILLC","LXILILC","LXILLCI","LXLIILC","LXLILCI","LXLLCII","LLIILCX","LLILCXI","LLXIILC","LLXILCI","LLXLCII","LLLCXII","DIIDXLM","DIIDLMX","DIDILMX","DIDXILM","DIDXLMI","DIDLMXI","DXIIDLM","DXIDILM","DXIDLMI","DXDIILM","DXDILMI","DXDLMII","DDIILMX","DDILMXI","DDXIILM","DDXILMI","DDXLMII","DDLMXII"]
39:["ILXLLC","ILLXLC","ILLLCX","IDXDLM","IDDXLM","IDDLMX","XILLLC","XIDDLM","XLILLC","XLLILC","XLLLCI","XDIDLM","XDDILM","XDDLMI","LILXLC","LILLCX","LXILLC","LXLILC","LXLLCI","LLILCX","LLXILC","LLXLCI","LLLCXI","DIDXLM","DIDLMX","DXIDLM","DXDILM","DXDLMI","DDILMX","DDXILM","DDXLMI","DDLMXI"]
40:["XLLLC","XDDLM","LXLLC","LLXLC","LLLCX","DXDLM","DDXLM","DDLMX"]
41:["IXLLLC","IXDDLM","XLLLIC","XDDLIM","LIXLLC","LXLLIC","LLIXLC","LLXLIC","LLLICX","LLLCIX","DIXDLM","DXDLIM","DDIXLM","DDXLIM","DDLIMX","DDLMIX"]
42:["IIXLLLC","IIXDDLM","IXLLLIC","IXDDLIM","XLLLIIC","XDDLIIM","LIIXLLC","LIXLLIC","LXLLIIC","LLIIXLC","LLIXLIC","LLXLIIC","LLLIICX","LLLICIX","LLLCIIX","DIIXDLM","DIXDLIM","DXDLIIM","DDIIXLM","DDIXLIM","DDXLIIM","DDLIIMX","DDLIMIX","DDLMIIX"]
43:["IILVLLC","IILLVLC","IILLLCV","IIDVDLM","IIDDVLM","IIDDLMV","ILILVLC","ILILLCV","ILVILLC","ILVLILC","ILVLLCI","ILLILCV","ILLVILC","ILLVLCI","ILLLCVI","IDIDVLM","IDIDLMV","IDVIDLM","IDVDILM","IDVDLMI","IDDILMV","IDDVILM","IDDVLMI","IDDLMVI","VIILLLC","VIIDDLM","VILILLC","VILLILC","VILLLCI","VIDIDLM","VIDDILM","VIDDLMI","VLIILLC","VLILILC","VLILLCI","VLLIILC","VLLILCI","VLLLCII","VDIIDLM","VDIDILM","VDIDLMI","VDDIILM","VDDILMI","VDDLMII","LIILVLC","LIILLCV","LILILCV","LILVILC","LILVLCI","LILLCVI","LVIILLC","LVILILC","LVILLCI","LVLIILC","LVLILCI","LVLLCII","LLIILCV","LLILCVI","LLVIILC","LLVILCI","LLVLCII","LLLCVII","DIIDVLM","DIIDLMV","DIDILMV","DIDVILM","DIDVLMI","DIDLMVI","DVIIDLM","DVIDILM","DVIDLMI","DVDIILM","DVDILMI","DVDLMII","DDIILMV","DDILMVI","DDVIILM","DDVILMI","DDVLMII","DDLMVII"]
44:["ILVLLC","ILLVLC","ILLLCV","IDVDLM","IDDVLM","IDDLMV","VILLLC","VIDDLM","VLILLC","VLLILC","VLLLCI","VDIDLM","VDDILM","VDDLMI","LILVLC","LILLCV","LVILLC","LVLILC","LVLLCI","LLILCV","LLVILC","LLVLCI","LLLCVI","DIDVLM","DIDLMV","DVIDLM","DVDILM","DVDLMI","DDILMV","DDVILM","DDVLMI","DDLMVI"]
45:["VLLLC","VDDLM","LVLLC","LLVLC","LLLCV","DVDLM","DDVLM","DDLMV"]
46:["IVLLLC","IVDDLM","VLLLIC","VDDLIM","LIVLLC","LVLLIC","LLIVLC","LLVLIC","LLLICV","LLLCIV","DIVDLM","DVDLIM","DDIVLM","DDVLIM","DDLIMV","DDLMIV"]
47:["IIILLLC","IIIDDLM","IIVLLLC","IIVDDLM","IILILLC","IILLILC","IILLLCI","IIDIDLM","IIDDILM","IIDDLMI","IVLLLIC","IVDDLIM","ILIILLC","ILILILC","ILILLCI","ILLIILC","ILLILCI","ILLLCII","IDIIDLM","IDIDILM","IDIDLMI","IDDIILM","IDDILMI","IDDLMII","VLLLIIC","VDDLIIM","LIIILLC","LIIVLLC","LIILILC","LIILLCI","LIVLLIC","LILIILC","LILILCI","LILLCII","LVLLIIC","LLIIILC","LLIIVLC","LLIILCI","LLIVLIC","LLILCII","LLVLIIC","LLLIICV","LLLICIV","LLLCIII","LLLCIIV","DIIIDLM","DIIVDLM","DIIDILM","DIIDLMI","DIVDLIM","DIDIILM","DIDILMI","DIDLMII","DVDLIIM","DDIIILM","DDIIVLM","DDIILMI","DDIVLIM","DDILMII","DDVLIIM","DDLIIMV","DDLIMIV","DDLMIII","DDLMIIV"]
48:["IILLLC","IIDDLM","ILILLC","ILLILC","ILLLCI","IDIDLM","IDDILM","IDDLMI","LIILLC","LILILC","LILLCI","LLIILC","LLILCI","LLLCII","DIIDLM","DIDILM","DIDLMI","DDIILM","DDILMI","DDLMII"]
49:["ILLLC","IDDLM","LILLC","LLILC","LLLCI","DIDLM","DDILM","DDLMI"]
50:["LLLC","DDLM"]
51:["LLLIC","DDLIM"]
52:["LLLIIC","DDLIIM"]
53:["IILLLVC","IIDDLVM","ILILLVC","ILLILVC","ILLLIVC","ILLLVCI","IDIDLVM","IDDILVM","IDDLIVM","IDDLVMI","LIILLVC","LILILVC","LILLIVC","LILLVCI","LLIILVC","LLILIVC","LLILVCI","LLLIIIC","LLLIIVC","LLLIVCI","LLLVCII","DIIDLVM","DIDILVM","DIDLIVM","DIDLVMI","DDIILVM","DDILIVM","DDILVMI","DDLIIIM","DDLIIVM","DDLIVMI","DDLVMII"]
54:["ILLLVC","IDDLVM","LILLVC","LLILVC","LLLIVC","LLLVCI","DIDLVM","DDILVM","DDLIVM","DDLVMI"]
55:["LLLVC","DDLVM"]
56:["LLLVIC","DDLVIM"]
57:["LLLVIIC","DDLVIIM"]
58:["IILLLXC","IIDDLXM","ILILLXC","ILLILXC","ILLLIXC","ILLLXCI","IDIDLXM","IDDILXM","IDDLIXM","IDDLXMI","LIILLXC","LILILXC","LILLIXC","LILLXCI","LLIILXC","LLILIXC","LLILXCI","LLLIIXC","LLLIXCI","LLLXCII","DIIDLXM","DIDILXM","DIDLIXM","DIDLXMI","DDIILXM","DDILIXM","DDILXMI","DDLIIXM","DDLIXMI","DDLXMII"]
59:["ILLLXC","IDDLXM","LILLXC","LLILXC","LLLIXC","LLLXCI","DIDLXM","DDILXM","DDLIXM","DDLXMI"]
60:["LLLXC","DDLXM"]
61:["LLLXIC","DDLXIM"]
62:["LLLXIIC","DDLXIIM"]
Explanations are optional, but I'm more likely to upvote answers that have one.
1 comment thread